It is proved that any odd number, such as 77, can be written as the sum of three prime numbers, namely 77 = 53+17+7; Another odd number, such as 46 1, can be expressed as 46 1=449+7+5, which is the sum of three prime numbers. 46 1 can also be written as 257+ 199+5, which is still the sum of three prime numbers. There are many examples, that is, "any odd number greater than 5 is the sum of three prime numbers."

From 6 = 3+3,8 = 3+5, 10=5+5, ...,100 = 3+97 =1+89 =17+83. ...

Goldbach's conjecture has never been solved, and the best result (Chen's theorem) was obtained by China mathematician Chen Jingrun in 1966. The similarity of these three problems lies in their simple topics and profound connotations, which have influenced mathematicians from generation to generation.

Extended data:

The research history of Goldbach conjecture;

Hua was the first mathematician in China who engaged in Goldbach conjecture. 1936 to 1938, China went to study in the UK. Under the guidance of Hardy, Hua studied mathematical theory and began to study Goldbach conjecture, which almost confirmed all even conjecture.

From 65438 to 0950, Hua came back from the United States and organized a seminar on number theory at the Institute of Mathematics of China Academy of Sciences. Hua chose Goldbach's conjecture as the topic of discussion. Wang Yuan, Pan Chengdong, Chen Jingrun and other students who attended the seminar made good achievements in proving Goldbach's conjecture.

1956, Wang Yuan proved "3+4"; In the same year, the mathematician A.V. Noguera Dov of the former Soviet Union proved "3+3"; 1957, Wang Yuan proved "2+3"; 1962, Pan Chengdong proved "1+5"; 1963, Pan Chengdong, Barba En and Wang Yuan all proved "1+4"; 1966, Chen Jingrun proved "1+2" after making new and important improvements to the screening method.

Baidu encyclopedia-Goldbach conjecture

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